# On the asymptotic behaviour of the equation $dz/dt=f(t,z)$ with a complex-valued function $f$

Archivum Mathematicum (1981)

- Volume: 017, Issue: 1, page 11-22
- ISSN: 0044-8753

## Access Full Article

top## How to cite

topKalas, Josef. "On the asymptotic behaviour of the equation $dz/dt=f(t,z)$ with a complex-valued function $f$." Archivum Mathematicum 017.1 (1981): 11-22. <http://eudml.org/doc/18045>.

@article{Kalas1981,

author = {Kalas, Josef},

journal = {Archivum Mathematicum},

keywords = {Liapunov function method; Wazewski topological principle},

language = {eng},

number = {1},

pages = {11-22},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {On the asymptotic behaviour of the equation $dz/dt=f(t,z)$ with a complex-valued function $f$},

url = {http://eudml.org/doc/18045},

volume = {017},

year = {1981},

}

TY - JOUR

AU - Kalas, Josef

TI - On the asymptotic behaviour of the equation $dz/dt=f(t,z)$ with a complex-valued function $f$

JO - Archivum Mathematicum

PY - 1981

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 017

IS - 1

SP - 11

EP - 22

LA - eng

KW - Liapunov function method; Wazewski topological principle

UR - http://eudml.org/doc/18045

ER -

## References

top- Hartman P., Ordinary Differential Equations, Wiley, New York-London-Sydney 1964. (1964) Zbl0125.32102MR0171038
- Kalas J., Asymptotic Behaviour of the Solutions of the Equation $\frac{dz}{dt}=f(t,z)$ with a Complex-Valued Function f, Proceedings of the Colloquium on Qualitative Theory of Differential Equations, August 1979, Szeged-Hungary, Seria Colloquia Mathematica Societatis János Bolyai & North-Holland Publishing Company, to appear. (1979) MR0680606
- [3J Ráb M., Geometrical Approach to the Study of the Riccati Differential Equation with Complex-Valued Coefficients, Journal of Differential Equations 25 (1977), 108--114. (1977) Zbl0331.34006MR0492454
- Ráb M., The Riccati Differential Equation with Complex-Valued Coefficients, Czechoslovak Mathematical Journal 20 (1970), 491-503. (1970) Zbl0215.14201MR0268452

## Citations in EuDML Documents

top- Josef Kalas, On certain asymptotic properties of the solutions of the equation $\dot{z}=f(t,z)$ with a complex-valued function $f$
- Josef Kalas, On a “Liapunov like” function for an equation $\dot{z}=f(t,z)$ with a complex-valued function $f$
- Josef Kalas, Asymptotic nature of solutions of the equation $\dot{z}=f(t,z)$ with a complex valued function $f$
- Josef Kalas, Asymptotic behaviour of a difference equation with complex-valued coefficients

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.